document.write( "Question 153189: Hello,\r
\n" ); document.write( "\n" ); document.write( "How would I solve the following:\r
\n" ); document.write( "\n" ); document.write( "The level of thorium in a sample decreases by a factor of one-half every 4.2 million years. A meteorite is discovered to have only 7.6% of its original thorium remaining. How old is the meteorite?\r
\n" ); document.write( "\n" ); document.write( "I think this has been answered but I can not find the answer.\r
\n" ); document.write( "\n" ); document.write( "Please help me I have tried several time to solve this without any help but I just can seen to solve it.\r
\n" ); document.write( "\n" ); document.write( "Thank you,\r
\n" ); document.write( "\n" ); document.write( "Jimmy
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Algebra.Com's Answer #112718 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
The level of thorium in a sample decreases by a factor of one-half every 4.2 million years. A meteorite is discovered to have only 7.6% of its original thorium remaining. How old is the meteorite?
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\n" ); document.write( "A(t) = Ao(1/2)^(t/4.2 mil)
\n" ); document.write( "This says \"the amount at time t A(t) is the amount you start with (Ao)
\n" ); document.write( "multiplied by (1/2) (t/4.2 mil) times.
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\n" ); document.write( "0.076Ao = Ao*(1/2)^(t/4.2 mil)
\n" ); document.write( "0.076 = (1/2)^(t/4.2 mil)
\n" ); document.write( "Take the log of both sides to get:
\n" ); document.write( "log 0.076 = (t/4.2 mil)*log(1/2)
\n" ); document.write( "t/4.2 mil = log0.076/log0.5
\n" ); document.write( "t = 4.2 mil * 3.717857...
\n" ); document.write( "t = 15.614998.. million years old.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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